11664800 has 72 divisors (see below), whose sum is σ = 32560416. Its totient is φ = 3997440.

The previous prime is 11664799. The next prime is 11664811. The reversal of 11664800 is 846611.

It is a self number, because there is not a number n which added to its sum of digits gives 11664800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4559 + ... + 6641.

It is an arithmetic number, because the mean of its divisors is an integer number (452228).

Almost surely, 2^11664800 is an apocalyptic number.

11664800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16280208).

11664800 is an abundant number, since it is smaller than the sum of its proper divisors (20895616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11664800 is a wasteful number, since it uses less digits than its factorization.

11664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 11664800 is about 3415.3769923685. The cubic root of 11664800 is about 226.7909737228.

The spelling of 11664800 in words is "eleven million, six hundred sixty-four thousand, eight hundred".